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Finding the Fourth Proportional to 390,121.88, 538,412 and 220,366.94

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Solution

The fourth proportional to 390,121.88, 538,412 and 220,366.94 is: 304,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,121.88 : 538,412 = 220,366.94 : x
  2. Step 2: Convert to fraction form
    390,121.88/538,412 = 220,366.94/x
  3. Step 3: Cross multiply
    390,121.88x = 538,412 × 220,366.94
  4. Step 4: Simplify right side
    390,121.88x = 118,648,204,899.28
  5. Step 5: Solve for x
    x = 118,648,204,899.28/390,121.88
  6. Step 6: Final answer
    x = 304,131.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.